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Class 7 Maths Worksheet: Rational Numbers

Maths worksheets lesson 55: Rational numbers · Set 188 · 40 sums
TalentJR

The method (Common denominator, then signs): Standard form: move any minus sign to the numerator and divide top and bottom by their HCF. Compare: same denominator, then the bigger numerator is bigger (−2/6 > −5/6). Add or subtract: common denominator, then add or subtract the numerators with the rules of signs. Additive inverse of a/b is −a/b; reciprocal of a/b is b/a (same sign).

NameDateTime takenScore ___ / 40
  1. 1.What is 2/7 + (−1/5)? (a) 17/35 (b) 3/35 (c) −3/35 (d) 1/12
  2. 2.What is (−2/5) − 1/9? (a) −23/45 (b) −3/14 (c) −13/45 (d) 23/45
  3. 3.Which is bigger: −5/9 or 2/7? (a) −5/9 (b) 2/7
  4. 4.What is (−1/6) − (−1/2)? (a) −1/3 (b) 1/3 (c) 0 (d) −2/3
  5. 5.Is 1/5 positive or negative? (a) Negative (b) Positive
  6. 6.Which is smaller: −7/8 or 1/7? (a) −7/8 (b) 1/7
  7. 7.What is (−2/9) + 5/8? (a) −61/72 (b) −29/72 (c) 3/17 (d) 29/72
  8. 8.Is −1/(−9) positive or negative? (a) Positive (b) Negative
  9. 9.Which is bigger: −1/6 or 3/5? (a) −1/6 (b) 3/5
  10. 10.Is 5/(−6) positive or negative? (a) Negative (b) Positive
  11. 11.Is 5/(−4) positive or negative? (a) Positive (b) Negative
  12. 12.Which is smaller: −7/9 or −7/8? (a) −7/9 (b) −7/8
  13. 13.What is (−1/8) − (−4/7)? (a) −25/56 (b) −39/56 (c) 25/56 (d) 1/5
  14. 14.What is (−2/3) + (−3/4)? (a) 1/12 (b) −17/12 (c) 17/12 (d) −5/7
  15. 15.What is (−7/8) − 1/6? (a) −4/7 (b) −17/24 (c) 25/24 (d) −25/24
  16. 16.Write 30/(−42) in standard form (lowest terms, positive denominator). (a) 5/7 (b) −30/42 (c) −7/5 (d) −5/7
  17. 17.What is 1/4 + (−6/7)? (a) 17/28 (b) 31/28 (c) −5/11 (d) −17/28
  18. 18.Write 6/(−21) in standard form (lowest terms, positive denominator). (a) −7/2 (b) 2/7 (c) −6/21 (d) −2/7
  19. 19.Is −4/8 positive or negative? (a) Negative (b) Positive
  20. 20.What is the additive inverse of −1/7? (a) 1/7 (b) −7 (c) −1/7 (d) 7
  21. 21.What is the reciprocal (multiplicative inverse) of −4/9? (a) 4/9 (b) −4/9 (c) 9/4 (d) −9/4
  22. 22.What is the reciprocal (multiplicative inverse) of 7/8? (a) 7/8 (b) −8/7 (c) −7/8 (d) 8/7
  23. 23.Which is smaller: −1/2 or −8/9? (a) −1/2 (b) −8/9
  24. 24.Is −8/(−4) positive or negative? (a) Negative (b) Positive
  25. 25.What is (−5/9) + (−2/3)? (a) 1/9 (b) −7/12 (c) 11/9 (d) −11/9
  26. 26.What is the reciprocal (multiplicative inverse) of −5/9? (a) −9/5 (b) 5/9 (c) −5/9 (d) 9/5
  27. 27.What is 1/6 + (−1/8)? (a) 0 (b) −1/24 (c) 7/24 (d) 1/24
  28. 28.What is 1/8 + (−1/5)? (a) 13/40 (b) 3/40 (c) 0 (d) −3/40
  29. 29.What is 4/5 + (−1/4)? (a) 11/20 (b) 1/3 (c) 21/20 (d) −11/20
  30. 30.What is (−1/5) − (−1/4)? (a) −1/20 (b) 0 (c) −9/20 (d) 1/20
  31. 31.Which is bigger: −4/9 or −8/9? (a) −8/9 (b) −4/9
  32. 32.Write −5/40 in standard form (lowest terms, positive denominator). (a) −5/40 (b) 1/8 (c) −1/8 (d) −8/1
  33. 33.Write 12/(−18) in standard form (lowest terms, positive denominator). (a) −12/18 (b) −3/2 (c) −2/3 (d) 2/3
  34. 34.Write −12/30 in standard form (lowest terms, positive denominator). (a) −2/5 (b) −12/30 (c) 2/5 (d) −5/2
  35. 35.What is the reciprocal (multiplicative inverse) of 3/8? (a) −8/3 (b) 3/8 (c) 8/3 (d) −3/8
  36. 36.Is −3/8 positive or negative? (a) Positive (b) Negative
  37. 37.What is (−7/8) + 3/5? (a) −59/40 (b) 11/40 (c) −11/40 (d) −4/13
  38. 38.Which is smaller: −3/8 or 3/4? (a) −3/8 (b) 3/4
  39. 39.What is 7/9 − (−1/3)? (a) 10/9 (b) −10/9 (c) 4/9 (d) 2/3
  40. 40.What is 1/5 + (−3/4)? (a) 11/20 (b) −2/9 (c) 19/20 (d) −11/20

Answer key

  1. 3/35
  2. −23/45
  3. 2/7
  4. 1/3
  5. Positive
  6. −7/8
  7. 29/72
  8. Positive
  9. 3/5
  10. Negative
  11. Negative
  12. −7/8
  13. 25/56
  14. −17/12
  15. −25/24
  16. −5/7
  17. −17/28
  18. −2/7
  19. Negative
  20. 1/7
  21. −9/4
  22. 8/7
  23. −8/9
  24. Positive
  25. −11/9
  26. −9/5
  27. 1/24
  28. −3/40
  29. 11/20
  30. 1/20
  31. −4/9
  32. −1/8
  33. −2/3
  34. −2/5
  35. 8/3
  36. Negative
  37. −11/40
  38. −3/8
  39. 10/9
  40. −11/20

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